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Decomposition of functional-reducing variation in the optimal control problem with constraints on the right end of the trajectory

  • Optimal Control of Dynamic Systems and Calculation Methods
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Literature Cited

  1. L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mishchenko, Mathematical Theory of Optimal Processes [in Russian], 4th ed., Nauka, Moscow (1969).

    Google Scholar 

  2. I. A. Krylov and F. L. Chernous'ko, ’On the method of successive approximations for optimal control problems’ Zh. Vychisl. Mat., i Mat. Fiz.,2, No. 6 (1962).

  3. Y. Sakawa, ’On local convergence of an algorithm for optimal control’ Numer. Funct. Anal. Optimiz.,3, No. 3 (1981).

    Google Scholar 

  4. V. F. Krotov and I. N. Fel'dman, ’An iterative method for solving optimal control problems’ Izv. Akad. Nauk SSSR, Tekh. Kibern., No. 2 (1984).

  5. A. E. Ilyutovich, ’Successive approximation method for linear optimal control problems with mixed constraints’ Izv. Akad. Nauk SSSR, Tekh. Kibern., No. 2 (1984).

  6. L. I. Rozonoér, ’Pontryagin's maximum principle in optimal system theory, 1, 2’ Avtomat. Telemekh., No.20, Nos. 10, 11 (1959).

  7. A. E. Ilyutovich and E. S. Levitin, Decomposition Theory and Methods for Blocked Extremal Problems [in Russian], Preprint, VNIISI, Moscow (1987).

    Google Scholar 

  8. A. E. Ilyutovich and E. S. Levitin, Decomposition Methods for Optimal Control Problems with Mixed Constraints and Free End of the Trajectory [in Russian], Preprint, VNIISI, Moscow (1987).

    Google Scholar 

  9. G. F. Hadley, Nonlinear and Dynamic Programming, Addison-Wesley, Reading, Mass. (1964).

    Google Scholar 

  10. A. E. Ilyutovich, ’Time decomposition of the feasible direction choosing procedure in the linear dynamic programming problem,’ VNIISI, Moscow, No. 1 (1987).

    Google Scholar 

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Translated from Optimal'nost’ Upravlyaemykh Dinamicheskikh Sistem, No. 19, pp. 68–78, Vsesoyuznyi Nauchno-Issledovatel'skii Institut Sistemnykh Issledovanii, Moscow (1988).

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Ilyutovich, A.E. Decomposition of functional-reducing variation in the optimal control problem with constraints on the right end of the trajectory. Comput Math Model 3, 438–447 (1992). https://doi.org/10.1007/BF01133075

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